a pair of $90 shoes goes on sale for 35% off and then goes on the clearance rack for an additional 10% off. a customer walks in with a 20% off coupon good on all clearance items and buys the shoes. How much did the customer pay for the shoes? and the price paid was what percent of the original price?
.65 * 90 = 58.50
58.50 - 5.80 = 52.70
.80 * 52.70 = 42.16
42.16/90 = ?
To find out how much the customer paid for the shoes and the price paid as a percentage of the original price, we can follow these steps:
1. Start with the original price of the shoes, which is $90.
2. Apply the first discount of 35% by multiplying the original price by 0.65 (100% - 35% = 65%). This gives us $90 * 0.65 = $58.50.
3. Apply the second discount of 10% by multiplying the discounted price by 0.9 (100% - 10% = 90%). This gives us $58.50 * 0.9 = $52.65.
4. Apply the coupon discount of 20% by multiplying the discounted price by 0.8 (100% - 20% = 80%). This gives us $52.65 * 0.8 = $42.12.
Therefore, the customer paid $42.12 for the shoes.
To find the price paid as a percentage of the original price, divide the discounted price by the original price and multiply by 100:
($42.12 / $90) * 100 ≈ 46.8
Therefore, the price paid by the customer was approximately 46.8% of the original price.